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Interactive
CK-12 Foundation

Unit Circle: Medieval Castle Defense

For Students 10th - 12th Standards
Who needs a plan — let trigonometry protect you! Pupils determine the angle of an approaching enemy to a village wall. The scholars determine the exact value of trigonometric functions for the angle. Class members use trigonometry to...
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Lesson Plan
Curated OER

Math: Gears and Wheels

For Teachers 12th
Twelfth graders solve problems involving linear and angular speed. Using information about a compact disc, they solve the problem using multiple rates and conversion factors. Students also solve additional problems involving bicycle...
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Worksheet
Curated OER

PreCalculus Worksheet 8.4

For Students 11th - 12th
In this precalculus instructional activity, students write numbers in their trigonometric form and compute the numbers to a given power. Students explore the parametric function and trace the roots of unity. After completing eight...
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Handout
2
2
Curated OER

Trig Cheat Sheet

For Teachers 10th - 12th Standards
Your pre-calculus learners will make use of this wonderful cheat sheet that summarizes all things trigonometric. Definitions based on both the unit circle and the right triangle are included, as well as many convenient trigonometric...
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Worksheet
Lane Community College

Review Sheets: Trigonometry

For Students 9th - 12th Standards
Review guide, practice test, homework packet? Yes, yes, and yes as it's all possible with a wonderful trigonometry packet. Every type of problem is there, starting from the unit circle and ending with conic sections. 
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Worksheet
2
2
Mt. San Antonio Collage

Graphing Trigonometric Functions

For Students 9th - 12th Standards
Double win with a comprehensive worksheet and an excellent worked out answer key. The worksheet itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig functions. 
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Handout
1
1
Curated OER

Math Handbook: Trigonometry

For Students 9th - 12th Standards
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and formulas. 
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Worksheet
Curated OER

Review Quiz before Mini-Exam

For Students 9th - 12th
In this pre-calculus review worksheet, students solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded interest...
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Lesson Plan
EngageNY

Basic Trigonometric Identities from Graphs

For Students 10th - 12th Standards
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their understanding...
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Lesson Plan
Curated OER

NIGHT AND DAY: DAILY CYCLES IN SOLAR RADIATION

For Teachers 9th - 12th
Students examine how Earth's rotation causes daily cycles in solar energy using a microset of satellite data to investigate the Earth's daily radiation budget and locating map locations using latitude and longitude coordinates.
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Worksheet
Curated OER

Inverse Trig Functions

For Students 10th - 11th
Learners solve and graph 10 different problems that are the inverses of various trig functions. First, they determine which equation is equivalent to a given equation. Then, they find an angle of a right triangle, given its leg lengths....
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Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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Lesson Plan
EngageNY

Solving Problems Using Sine and Cosine

For Students 9th - 10th Standards
Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles. When...
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Lesson Plan
EngageNY

Arc Length and Areas of Sectors

For Teachers 9th - 10th Standards
How do you find arc lengths and areas of sectors of circles? Young mathematicians investigate the relationship between the radius, central angle, and length of intercepted arc. They then learn how to determine the area of sectors of...
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Lesson Plan
Mathematics Assessment Project

Calculating Arcs and Areas of Sectors of Circles

For Teachers 9th - 12th Standards
Going around in circles trying to find a resource on sectors of circles? Here is an activity where pupils first complete an assessment task to determine the areas and perimeters of sectors of circles. They then participate in an activity...
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Activity
Curated OER

Math Games for Skills and Concepts

For Teachers 2nd - 5th
A 27-page packet full of math games and activities builds on algebra, measurement, geometry, fractional, and graphing skills. Young mathematicians participate in math games collaboratively, promoting teamwork and skills practice.
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Lesson Plan
EngageNY

From Circle-ometry to Trigonometry

For Students 10th - 12th Standards
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
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Lesson Plan
EngageNY

What Is a Trigonometric Identity?

For Students 10th - 12th Standards
Protect yourself from identity theft! Establishing a strong understanding of the Pythagorean identity allows learners to prove that sine^2x + cos^2x = 1. They then use the identity to find sine or cosine ratios given the other.
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Lesson Plan
EngageNY

Modeling Video Game Motion with Matrices 2

For Teachers 11th - 12th Standards
The second day of a two-part lesson plan on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the...
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Lesson Plan
EngageNY

Tangent Lines and the Tangent Function

For Teachers 11th - 12th Standards
Construct tangent lines and make the connection to tangent functions. An informative lesson reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a circle from a...
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Lesson Plan
Curated OER

Worksheet 13 - Implicit Differentiation

For Teachers Higher Ed
In this implicit differentiation worksheet, students differentiate expressions and identify the derivative of a function. This one-page worksheet contains six multi-step problems.
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PPT
Curated OER

Gravity and Circular Motion

For Teachers 9th - 12th
Go around and around in your physics class with this presentation on circular motion. Diagrams bring the definition to life. Formulas for angular acceleration, centripetal force, gravitation, and potential in a radial field are given....
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Lesson Plan
Curated OER

Arc Length Lesson

For Teachers 9th - 11th
Learners find the length of the arc of a circle. In this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They...
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Worksheet
Curated OER

Trigonometric Functions

For Students 11th - 12th
In this trigonometric functions worksheet, students solve and complete 35 various type of problems. First, they find the values for all six trig functions that pass through the given points. Then, students prove different identities as...

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